As I continued looking for the "essence" of the Jerome Gambit (1.e4 e5 2.Nf3 Nc6 3.Bc4 Bc5 4.Bxf7+), or at least an insight into how it "works", I discovered that some of the 7-move games in The Database began to "predict" some of the regular main lines.
For example, in the following three games White's recovery of one of the pieces that he had sacrificed is enough for Black to surrender, even though the second player actually remained with the advantage.
mediax - TJay2465
Jerome Gambit Thematic
ChessWorld.net, 2008
1.e4 e5 2.Nf3 Nc6 3.Bc4 Bc5 4.Bxf7+ Kxf7 5.Nxe5+ Nxe5 6.Qh5+ Ng6 7.Qxc5 1-0
Petasluk - mihck
blitz, FICS, 2010
1.e4 e5 2.Nf3 Nc6 3.Bc4 Bc5 4.Bxf7+ Kxf7 5.Nxe5+ Nxe5 6.Qh5+ g6 7.Qxe5 1-0
perrypawnpusher - Aerandir
blitz, FICS, 2010
1.e4 e5 2.Nf3 Nc6 3.Bc4 Bc5 4.Bxf7+ Kxf7 5.Nxe5+ Nxe5 6.Qh5+ Kf8 7.Qxe5 1-0
Some of the other short games began to highlight the attacking ideas open to White in the Jerome Gambit, if the defense faltered.
stivb_99 - spymaster
gameknot.com, 2008
1.e4 e5 2.Nf3 Nc6 3.Bc4 Bc5 4.Bxf7+ Kxf7 5.Nxe5+ Ke7 (in The Database, White won 6 out of 8 games against this move) 6.Qh5 d6 7.Qf7#
Esistes - ClosetDoor
blitz, FICS, 2009
1.e4 e5 2.Nf3 Nc6 3.Bc4 Bc5 4.Bxf7+ Kxf7 5.Nxe5+ Ke8 (The Database, White won 22, lost 8, and drew 1 against this move) 6.Qh5+ Kf8 7.Qf7#
escapade - Sakebomb
blitz, FICS, 2011
1.e4 e5 2.Nf3 Nc6 3.Bc4 Bc5 4.Bxf7+ Kxf7 5.d4 Nxd4 6.Nxe5+ Ke8 7.Qh5+ (in 89 games in The Database that reached this position, White won 59%) 1-0
perrypawnpusher - gelgel
blitz, FICS, 2010
1.e4 e5 2.Nf3 Nc6 3.Bc4 Bc5 4.Bxf7+ Kxf7 5.Nxe5+ Nxe5 6.Qh5+ Ke7 7.Qxe5+ 1-0
Knight32 - Haroldlee123
Jerome Gambit Thematic,
ChessWorld, 2011
1.e4 e5 2.Nf3 Nc6 3.Bc4 Bc5 4.Bxf7+ Kxf7 5.c3 Nf6 6.Ng5+ Kg8 7.Qb3+ (White won 2 of 5 games with this position in The Database) 1-0